Exact Analysis of Entanglement in Gapped Quantum Spin Chains

Details Exact Analysis of Entanglement in Gapped Quantum Spin Chains Exact Analysis of Entanglement in Gapped Quantum Spin Chains

2007-02-08

arxiv.org/abs/cond-mat/0702196v1

Phys. Rev. B 76, 012401 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 2 figures

Scientific paper

10.1103/PhysRevB.76.012401

We investigate the entanglement properties of the valence-bond-solid states with generic integer-spin $S$. Using the Schwinger boson representation of the valence-bond-solid states, the entanglement entropy, the von Neumann entropy of a subsystem, is obtained exactly and its relationship with the usual correlation function is clarified. The saturation value of the entanglement entropy, $2 \log_2 (S+1)$, is derived explicitly and is interpreted in terms of the edge-state picture. The validity of our analytical results and the edge-state picture is numerically confirmed. We also propose a novel application of the edge state as a qubit for quantum computation.

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